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Finding the Third Proportional to 91,873,871 and 200,438,485

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Solution

The third proportional to 91,873,871 and 200,438,485 is: 437,290,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,873,871 : 200,438,485 = 200,438,485 : x
  2. Step 2: Convert to fraction form
    91,873,871/200,438,485 = 200,438,485/x
  3. Step 3: Cross multiply
    91,873,871x = 200,438,485 × 200,438,485
  4. Step 4: Simplify right side
    91,873,871x = 40,175,586,269,095,224
  5. Step 5: Solve for x
    x = 40,175,586,269,095,224/91,873,871
  6. Step 6: Final answer
    x = 437,290,666.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.